Home / 72,696-106,644

Finding the Third Proportional to 72,696 and 106,644

Calculator

Solution

The third proportional to 72,696 and 106,644 is: 156,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,696 : 106,644 = 106,644 : x
  2. Step 2: Convert to fraction form
    72,696/106,644 = 106,644/x
  3. Step 3: Cross multiply
    72,696x = 106,644 × 106,644
  4. Step 4: Simplify right side
    72,696x = 11,372,942,736
  5. Step 5: Solve for x
    x = 11,372,942,736/72,696
  6. Step 6: Final answer
    x = 156,445.23

Related Problems

Find third proportional to 36,348 and 53,322
Half scale
Find third proportional to 145,392 and 213,288
Double scale
Find third proportional to 72,698 and 106,647
Similar ratio
Find third proportional to 109,044 and 159,966
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.